JAM 550 Spring 2021 > Module Week 3 > Newton's Method solutions submitted (max: Unlimited) Newton's method is a powerful algorithm for solving problems of the form F(x) = 0 It doesn't always work, but if you have a reasonably close intial guess and with suitable conditions on the function, it will work and it will do it in incredibly tew iterations The algorithm proceeds as follows, While the absolute value of f) > tol, replace with end loop Write a function called "newtons, that accepts a function, a derivative function, an initial guess for X, and a tolerance and returns the newton approximate solution (ouch that f(x)